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Teutsche Algebra, Oder Algebraische Rechenkunst, zusamt ihrem Gebrauch: Bestehend 1. In Auflösung verworner Mathematischer Aufgaben.  2. In Verhandlung allerhand Algebraischer Æquationen.  3. In Erfindung unterschidlicher muzlicher Theorematum.  Dem Teutschen Liebhaber Mathematischer Künsten nach einem neuen, und hiebevor niemalen im Trukk gesehenen Methodo zugefallen also verfasset.. by  Landvogt zu Kyburg  Johann Heinrich - from Jonathan A. Hill, Bookseller, Inc. and Biblio.com

Teutsche Algebra, Oder Algebraische Rechenkunst, zusamt ihrem Gebrauch: Bestehend 1. In Auflösung verworner Mathematischer Aufgaben. 2. In Verhandlung allerhand Algebraischer Æquationen. 3. In Erfindung unterschidlicher muzlicher Theorematum. Dem Teutschen Liebhaber Mathematischer Künsten nach einem neuen, und hiebevor niemalen im Trukk gesehenen Methodo zugefallen also verfasset..

by RAHN, Johann Heinrich, Landvogt zu Kyburg

Condition: See description


Four folding printed tables & numerous woodcut diagrams in the text. 6 p.l. (two of these preliminary leaves are mis-bound at end), 188 pp., 4 leaves of errata at end. Small 4to, attractive antique calf, panelled in gilt, gilt fleurons in each corner, spine gilt. Zurich: J.J. Bodmer, 1659. First edition and an absolutely complete copy of this rare and noteworthy mathematical book; our copy has all four folding printed tables (most copies described in OCLC seem to have only three) and an extra leaf of errata not present in the Macclesfield copy (sale, Sotheby's London, 25 Oct. 2005, lot 1705, £12,000 including premium). In this book on page 73, Rahn first introduced the symbol "÷" in print "as a sign of division; (2) the Archimedean spiral for involution; (3) the double epsilon for evolution; (4) the use of capital letters B, D, E, for given numbers, and small letters a, b, for unknown numbers; (5) the * for multiplication; (6) the first use of ∴ for 'therefore'; (7) the three-column arrangement of which the left column contains the directions, the middle the numbers of the lines, the right the results of the operations."-Cajori, A History of Mathematical Notations, I, pp. 211-12 & see illus. on p. 213 (& see sections 205, 208, 232, 237, 266, 304, 307, 328, 333, 341, 385, & 386 for Rahn's other contributions, all of which appear in the present book). We know that Leibniz looked upon Rahn's book favorably, describing it as "an elegant algebra." While Rahn's use of the modern division sign was not immediately adopted in Europe, in England it met a very favorable reception, with John Wallis and other English writers employing it. Rahn (1622-76), came from a prominent Zurich family and had a major role in the administration of his native city. About 1654, Rahn came to know John Pell (1611-85), then a representative of the Commonwealth at Zurich, and engaged the English mathematician as a tutor in 1657, meeting every Friday night. While some of the advances in notation in this book might have derived from Pell, "without further evidence, it is best to assume that there was joint responsibility for these innovations and that Pell's contemporary reputation as a mathematician, and particularly as an algebraist, was not unearned."-D.S.B., X, p. 495. Fine crisp copy. Old library stamp on title. ❧ Cajori, A History of Mathematics, p. 140. Smith, History of Mathematics, I, p. 412 & II, pp. 406, 411-12, 431n, & 474. For Pell and his relationship with Rahn, see D.S.B., X, pp. 495-96.
  • Bookseller: Jonathan A. Hill, Bookseller, Inc. US (US)
  • Bookseller Inventory #: 2191
  • Title: Teutsche Algebra, Oder Algebraische Rechenkunst, zusamt ihrem Gebrauch: Bestehend 1. In Auflösung verworner Mathematischer Aufgaben. 2. In Verhandlung allerhand Algebraischer Æquationen. 3. In Erfindung unterschidlicher muzlicher Theorematum. Dem Teutschen Liebhaber Mathematischer Künsten nach einem neuen, und hiebevor niemalen im Trukk gesehenen Methodo zugefallen also verfasset..
  • Author: RAHN, Johann Heinrich, Landvogt zu Kyburg
  • Book condition: Used
  • Quantity available: 1


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Glossary

Some terminology that may be used in this description includes:
spine
The outer portion of a book which covers the actual binding. The spine usually faces outward when a book is placed on a shelf....[more]
gilt
The decorative application of gold or gold coloring to a portion of a book on the spine, edges of the text block, or an inlay in...[more]
fine
A book in fine condition exhibits no flaws. A fine condition book closely approaches As New condition, but may lack the...[more]
First Edition
In book collecting, the first edition is the earliest published form of a book. A book may have more than one first edition in...[more]
crisp
A term often used to indicate a book's new-like condition. Indicates that the hinges are not loosened. A book described as crisp...[more]
leaves
Very generally, "leaves" refers to the pages of a book, as in the common phrase, "loose-leaf pages." A leaf is a single sheet...[more]
calf
Calf or calf hide is a common form of leather binding.  Calf binding is naturally a light brown but there are ways to treat...[more]
errata
Errata: aka Errata Slip A piece of paper either laid in to the book correcting errors found in the printed text after being...[more]

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